5640600 has 192 divisors, whose sum is σ = 21427200. Its totient is φ = 1198080.

The previous prime is 5640599. The next prime is 5640619. The reversal of 5640600 is 60465.

5640600 = 568² + 569² + ... + 584².

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71361 + ... + 71439.

It is an arithmetic number, because the mean of its divisors is an integer number (111600).

Almost surely, 2^5640600 is an apocalyptic number.

5640600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5640600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713600).

5640600 is an abundant number, since it is smaller than the sum of its proper divisors (15786600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5640600 is a wasteful number, since it uses less digits than its factorization.

5640600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5640600 is about 2374.9947368363. The cubic root of 5640600 is about 178.0089209854.

The spelling of 5640600 in words is "five million, six hundred forty thousand, six hundred".